Success TrackerSuccess Tracker
Log inSign up

GATE ME 2022 Set 1 — Question 43

Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.
MCQ+2 / -0.67MediumViscous Incompressible FlowViscous & Pipe FlowFluid Mechanics

Fluid Mechanics → Viscous & Pipe Flow → Viscous Incompressible Flow

Last updated

Question

A solid spherical bead of lead (uniform density = 11000 kg/m311000 \text{ kg/m}^3) of diameter d=0.1 mmd = 0.1 \text{ mm} sinks with a constant velocity VV in a large stagnant pool of a liquid (dynamic viscosity = 1.1×10−3 kg⋅m−1⋅s−11.1 \times 10^{-3} \text{ kg}\cdot\text{m}^{-1}\cdot\text{s}^{-1}). The coefficient of drag is given by cD=24Rec_D = \frac{24}{Re}, where the Reynolds number (ReRe) is defined on the basis of the diameter of the bead. The drag force acting on the bead is expressed as D=(cD)(0.5ρV2)(πd24)D = (c_D)(0.5\rho V^2)\left(\frac{\pi d^2}{4}\right), where ρ\rho is the density of the liquid. Neglect the buoyancy force. Using g=10 m/s2g = 10 \text{ m/s}^2, the velocity VV is __________ m/s.
Your answer

Choose one option, then check your answer.

The solution stays hidden until you check.

Continue learning with Success Tracker

A step still unclear? Work through it with support

Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.

AI-powered practice· Unlimited practice on eligible plans
PYQs with solutions
Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
Practice that adapts
Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
AI doubt support
Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.

Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.

Start with a free accountView plans and allowances

This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.

More questions on Viscous & Pipe Flow

2026 Set 1 Q24A steady incompressible laminar flow passes through a 90∘90^\circ tube bend placed on a horizontal…2026 Set 1 Q25An ideal gas passes isothermally through a long horizontal uniform cross-section pipe under steady…2026 Set 1 Q26Bernoulli’s equation CANNOT be applied between2026 Set 1 Q29A hydraulic crane supports a mass of 500 kg500\text{ kg} with its piston-cylinder actuator, inclined at…2026 Set 1 Q53Water with a density of 1000 kg/m31000 \text{ kg/m}^3 comes out of an industrial condenser through a…